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Finding the Fourth Proportional to 6,877.62, 10,316.43 and 1,683.50

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Solution

The fourth proportional to 6,877.62, 10,316.43 and 1,683.50 is: 2,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.62 : 10,316.43 = 1,683.50 : x
  2. Step 2: Convert to fraction form
    6,877.62/10,316.43 = 1,683.50/x
  3. Step 3: Cross multiply
    6,877.62x = 10,316.43 × 1,683.50
  4. Step 4: Simplify right side
    6,877.62x = 17,367,658.32
  5. Step 5: Solve for x
    x = 17,367,658.32/6,877.62
  6. Step 6: Final answer
    x = 2,525.24

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.